Sorry for your loss. It is never easy.
Last fall our Greyhound (14 years old) had to be put down. Our vet as well has the Good Bye Room. When I brought our Greyhound in, there was a very young Vet Tech and Veterinarian, also on the quite young side. Both were very professional and compassionate. So much so that they both were crying along with me and I was even asked (by veterinarian) for a hug. While I was very sad to be putting our last Greyhound down, I was happy for the care and compassion I was given. I was allowed all the alone time I needed before leaving. And the Good Bye Room also has a private exit from the facility.